Question # 1

The point R dividing internally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio K₁: K₂has the coordinates

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The solution set of x < 4 is

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-∞< x < 4

-∞> x > 4

-∞< x < 2

-∞> x > 2

An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is

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2 mn

1/2 mn

mn

mn²

If Z₁= 1 + i, Z₂= 2+3i, then |Z₂- Z₁| = ?

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The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is

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2:3

-2:3

3:2

-3:2

Number of conics is

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1

3

2

4

Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is

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9028

9208

9802

9820

The multiplicative inverse of 1 is

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1

-1

0

Does not exist

Range of sinθis

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If the exponent in the binomial expansion is 6, then the middle term is

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2nd

3rd

4th

5th

If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

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- cos x

sin x

- sin x

sec x

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A natural number

A rational number

An irrational number

A whole number

s > t then

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(s - t)²> (t - s)²

(s - t)²< (t - s)²

(s - t)²= (t - s)²

None

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Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if

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c = 0

c = 0,b≠ 0

b = 0,c = 0

b = 0,c≠ 0

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If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

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1

0

5

2

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

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0

1

-2

10

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The centre of the circle x2+y2 -2fx-2gy+x=0 is

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(-g,-f)

(g,f)

(f,g)

(-f,-g)

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

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none of these

PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are

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The set of all points in the plane that are equally distant from a fixed point to called a

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Parabola

ellipse

Hyperbola

Circle

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15

9

7

8

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